English

First Order Symbols on Surfaces and their multiplicity sets

Mathematical Physics 2020-02-12 v2 Differential Geometry math.MP

Abstract

We study the multiplicity sets of first order symbols associated with differential operators on two dimensional surfaces. This work is inspired by the phenomenon of conical refraction explained by the existence of singularities in the Fresnel hyper-surface for Maxwell's equations on an anisotropic crystal.

Cite

@article{arxiv.1311.0572,
  title  = {First Order Symbols on Surfaces and their multiplicity sets},
  author = {Carlos Valero},
  journal= {arXiv preprint arXiv:1311.0572},
  year   = {2020}
}

Comments

The article contained some errors whose corrections have been submitted as a new version of a different article

R2 v1 2026-06-22T02:00:06.910Z